401602361520361 has 9 divisors (see below), whose sum is σ = 403368351142743. Its totient is φ = 399844070293320.

The previous prime is 401602361520337. The next prime is 401602361520389. The reversal of 401602361520361 is 163025163206104.

The square root of 401602361520361 is 20040019.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 374032931084761 + 27569430435600 = 19339931^2 + 5250660^2 .

It is not a de Polignac number, because 401602361520361 - 2²³ = 401602353131753 is a prime.

It is a super-2 number, since 2×401602361520361² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401602361520301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4589120596 + ... + 4589208106.

It is an arithmetic number, because the mean of its divisors is an integer number (44818705682527).

Almost surely, 2^{401602361520361} is an apocalyptic number.

401602361520361 is the 20040019-th square number.

401602361520361 is the 10020010-th centered octagonal number.

It is an amenable number.

401602361520361 is a deficient number, since it is larger than the sum of its proper divisors (1765989622382).

401602361520361 is an frugal number, since it uses more digits than its factorization.

401602361520361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175480 (or 87740 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 401602361520361 in words is "four hundred one trillion, six hundred two billion, three hundred sixty-one million, five hundred twenty thousand, three hundred sixty-one".